Annals of Physics, ISSN 0003-4916, 2008, Volume 323, Issue 1, pp. 204 - 249

The dichotomy between fermions and bosons is at the root of many physical phenomena, from metallic conduction of electricity to super-fluidity, and from the...

Anyons | Quantum Hall effect | WAVE-FUNCTIONS | STATES | VORTICES | anyons | CONFORMAL FIELD-THEORY | PHYSICS, MULTIDISCIPLINARY | quantum Hall effect | DYNAMICS | FLUX | NON-ABELIAN STATISTICS | EXCLUSION STATISTICS | HIERARCHY | Magnetic fields | Quantum physics | Particle physics | CONFORMAL INVARIANCE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANYONS | FERMIONS | HALL EFFECT | QUANTUM MECHANICS | QUANTUM FIELD THEORY | BOSONS | ELECTRICITY | WAVE FUNCTIONS

Anyons | Quantum Hall effect | WAVE-FUNCTIONS | STATES | VORTICES | anyons | CONFORMAL FIELD-THEORY | PHYSICS, MULTIDISCIPLINARY | quantum Hall effect | DYNAMICS | FLUX | NON-ABELIAN STATISTICS | EXCLUSION STATISTICS | HIERARCHY | Magnetic fields | Quantum physics | Particle physics | CONFORMAL INVARIANCE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANYONS | FERMIONS | HALL EFFECT | QUANTUM MECHANICS | QUANTUM FIELD THEORY | BOSONS | ELECTRICITY | WAVE FUNCTIONS

Journal Article

Annals of Physics, ISSN 0003-4916, 2008, Volume 323, Issue 11, pp. 2709 - 2755

We develop the general quantum measurement theory of non-Abelian anyons through interference experiments. The paper starts with a terse introduction to the...

Fractional quantum Hall effect | Topological qubit readout | Non-Abelian anyons | Anyonic charge measurement | Interferometry | LANDAU-LEVEL | PARTICLES | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | STATISTICS | QUANTUM HALL STATES | GENERAL-THEORY | COMPUTATION | QUANTIZATION | 2 DIMENSIONS | HIERARCHY | Experiments | Physics | Quantum theory | Scientific apparatus & instruments | Measurement techniques | TOPOLOGY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MACH-ZEHNDER INTERFEROMETER | QUANTUM MECHANICS | ELECTRIC CONTACTS | READOUT SYSTEMS | QUBITS | INFORMATION THEORY | ANYONS | INTERFEROMETRY | INTERFERENCE | HALL EFFECT | TUNNEL EFFECT

Fractional quantum Hall effect | Topological qubit readout | Non-Abelian anyons | Anyonic charge measurement | Interferometry | LANDAU-LEVEL | PARTICLES | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | STATISTICS | QUANTUM HALL STATES | GENERAL-THEORY | COMPUTATION | QUANTIZATION | 2 DIMENSIONS | HIERARCHY | Experiments | Physics | Quantum theory | Scientific apparatus & instruments | Measurement techniques | TOPOLOGY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MACH-ZEHNDER INTERFEROMETER | QUANTUM MECHANICS | ELECTRIC CONTACTS | READOUT SYSTEMS | QUBITS | INFORMATION THEORY | ANYONS | INTERFEROMETRY | INTERFERENCE | HALL EFFECT | TUNNEL EFFECT

Journal Article

Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 04/2013, Volume 87, Issue 16

We introduce and study a class of anyon models that are a natural generalization of Ising anyons and Majorana fermion zero modes. These models combine an Ising...

PHYSICS, CONDENSED MATTER | QUANTUM HALL STATES | SYMMETRIES | REPRESENTATIONS | STATISTICS | INTERFEROMETRY | NON-ABELIAN ANYONS | 2 DIMENSIONS

PHYSICS, CONDENSED MATTER | QUANTUM HALL STATES | SYMMETRIES | REPRESENTATIONS | STATISTICS | INTERFEROMETRY | NON-ABELIAN ANYONS | 2 DIMENSIONS

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 01/2018, Volume 490, pp. 918 - 927

The topology of particle trajectories in two-dimensional space allows for existence of anyons â€” particles obeying statistics intermediate between that of...

Anyons | Fractional statistics | Occupation numbers | Virial expansion | IDEAL-GAS | VIRIAL-COEFFICIENTS | MECHANICS | PARTICLES | PHYSICS, MULTIDISCIPLINARY | FRACTIONAL-STATISTICS | NON-ABELIAN ANYONS | Physics - Statistical Mechanics

Anyons | Fractional statistics | Occupation numbers | Virial expansion | IDEAL-GAS | VIRIAL-COEFFICIENTS | MECHANICS | PARTICLES | PHYSICS, MULTIDISCIPLINARY | FRACTIONAL-STATISTICS | NON-ABELIAN ANYONS | Physics - Statistical Mechanics

Journal Article

Physical Review A, ISSN 2469-9926, 05/2018, Volume 97, Issue 5

We propose feasible scenarios for revealing the modified exchange statistics in one-dimensional anyon models in optical lattices based on an extension of the...

FRACTIONAL STATISTICS | STATES | PARTICLES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | GAS | INTERFEROMETRY | QUANTUM COMPUTATION | OPTICS | LATTICE | NON-ABELIAN ANYONS | Physics - Quantum Gases

FRACTIONAL STATISTICS | STATES | PARTICLES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | GAS | INTERFEROMETRY | QUANTUM COMPUTATION | OPTICS | LATTICE | NON-ABELIAN ANYONS | Physics - Quantum Gases

Journal Article

New Journal of Physics, ISSN 1367-2630, 05/2013, Volume 15

Chains of interacting non-Abelian anyons with local interactions invariant under the action of the Drinfeld double of the dihedral group D-3 are constructed....

CONFORMAL-INVARIANCE | PHYSICS, MULTIDISCIPLINARY | LATTICE MODELS | DYNKIN DIAGRAMS | INVARIANT PARTITION-FUNCTIONS | OPERATOR CONTENT | QUANTUM COMPUTATION | FINITE-SIZE | CRITICAL SYSTEMS | NON-ABELIAN ANYONS | CRITICAL EXPONENTS

CONFORMAL-INVARIANCE | PHYSICS, MULTIDISCIPLINARY | LATTICE MODELS | DYNKIN DIAGRAMS | INVARIANT PARTITION-FUNCTIONS | OPERATOR CONTENT | QUANTUM COMPUTATION | FINITE-SIZE | CRITICAL SYSTEMS | NON-ABELIAN ANYONS | CRITICAL EXPONENTS

Journal Article

Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 10/2012, Volume 86, Issue 15

Using finite-size scaling arguments, the critical properties of a chain of interacting anyons can be extracted from the low-energy spectrum of a finite system....

FRACTIONAL STATISTICS | ORDER | TORUS | PHYSICS, CONDENSED MATTER | QUANTUM HALL STATES | LANDAU-LEVEL | EXCITATIONS | DEGENERACY | COMPUTATION | NON-ABELIAN ANYONS

FRACTIONAL STATISTICS | ORDER | TORUS | PHYSICS, CONDENSED MATTER | QUANTUM HALL STATES | LANDAU-LEVEL | EXCITATIONS | DEGENERACY | COMPUTATION | NON-ABELIAN ANYONS

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 07/2011, Volume 84, Issue 1

Topological quantum computation may provide a robust approach for encoding and manipulating information utilizing the topological properties of anyonic...

WAVE-FUNCTIONS | NON-ABELIAN STATISTICS | HALL STATES | OPTICS | UNIVERSAL | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | TOPOLOGY | EXCITATION | QUANTUM COMPUTERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANYONS | QUANTUM FIELD THEORY | QUBITS

WAVE-FUNCTIONS | NON-ABELIAN STATISTICS | HALL STATES | OPTICS | UNIVERSAL | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | TOPOLOGY | EXCITATION | QUANTUM COMPUTERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANYONS | QUANTUM FIELD THEORY | QUBITS

Journal Article

Annual Review of Condensed Matter Physics, ISSN 1947-5454, 04/2013, Volume 4, Issue 1, pp. 113 - 136

Majorana fermions (particles that are their own antiparticle) may or may not exist in nature as elementary building blocks, but in condensed matter they can be...

non-Abelian anyons | midgap states | topological insulators | topological zero modes | topological superconductors | PHYSICS, CONDENSED MATTER | WAVE SUPERCONDUCTORS | VORTICES | NON-ABELIAN STATISTICS | QUANTUM COMPUTATION | HYBRID STRUCTURES | P-WAVE | BOUND-STATES | ZERO MODES | ANYONS | Electrodynamics | Quantum computing | Superconductors | Atomic properties | Research | Topology | Algebraic topology | Physics - Mesoscale and Nanoscale Physics

non-Abelian anyons | midgap states | topological insulators | topological zero modes | topological superconductors | PHYSICS, CONDENSED MATTER | WAVE SUPERCONDUCTORS | VORTICES | NON-ABELIAN STATISTICS | QUANTUM COMPUTATION | HYBRID STRUCTURES | P-WAVE | BOUND-STATES | ZERO MODES | ANYONS | Electrodynamics | Quantum computing | Superconductors | Atomic properties | Research | Topology | Algebraic topology | Physics - Mesoscale and Nanoscale Physics

Journal Article

Computational Materials Science, ISSN 0927-0256, 2010, Volume 49, Issue 4, pp. S395 - S398

A generalized version of the valence-bond Monte Carlo method is used to study ground state properties of the 1 + 1 dimensional quantum Q-state Potts models....

Quantum Monte Carlo | Spin chains | Non-Abelian anyons | SYSTEM | GROUND-STATE | MATERIALS SCIENCE, MULTIDISCIPLINARY | 1-DIMENSIONAL CHAIN | MODEL | SPIN-SPIN INTERACTIONS | LATTICE | Monte Carlo method | Analysis | Physics - Disordered Systems and Neural Networks

Quantum Monte Carlo | Spin chains | Non-Abelian anyons | SYSTEM | GROUND-STATE | MATERIALS SCIENCE, MULTIDISCIPLINARY | 1-DIMENSIONAL CHAIN | MODEL | SPIN-SPIN INTERACTIONS | LATTICE | Monte Carlo method | Analysis | Physics - Disordered Systems and Neural Networks

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 03/2009, Volume 79, Issue 3

We give a general proof for the existence and realizability of Clifford gates in the Ising topological quantum computer. We show that all quantum gates that...

group theory | anyons | quantum gates | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Ising model | NON-ABELIAN STATISTICS | COMPUTATION | OPTICS

group theory | anyons | quantum gates | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Ising model | NON-ABELIAN STATISTICS | COMPUTATION | OPTICS

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 02/2012, Volume 85, Issue 2

An obstacle affecting any proposal for a topological quantum computer based on Ising anyons is that quasiparticle braiding can only implement a finite...

NON-ABELIAN STATISTICS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICS | Bells | Inequalities | Benchmarking | Ising model | Mathematical models | Qubits (quantum computing) | Topology | Quantum computers | Physics - Quantum Physics

NON-ABELIAN STATISTICS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICS | Bells | Inequalities | Benchmarking | Ising model | Mathematical models | Qubits (quantum computing) | Topology | Quantum computers | Physics - Quantum Physics

Journal Article

Annual Review of Condensed Matter Physics, ISSN 1947-5454, 3/2016, Volume 7, Issue 1, pp. 119 - 139

We concisely review the recent evolution in the study of parafermions-exotic emergent excitations that generalize Majorana fermions and similarly underpin a...

non-Abelian anyons | topological quantum computation | superconductivity | quantum Hall effect | Quantum Hall effect | Non-Abelian anyons | Topological quantum computation | Superconductivity | PHYSICS, CONDENSED MATTER | STATES | QUANTUM | INCOMMENSURATE | NON-ABELIAN STATISTICS | MAJORANA FERMIONS | MODEL | INDUCED SUPERCONDUCTIVITY | ANYONS | EDGE | Research | Topology | Algebraic topology | Quantum theory

non-Abelian anyons | topological quantum computation | superconductivity | quantum Hall effect | Quantum Hall effect | Non-Abelian anyons | Topological quantum computation | Superconductivity | PHYSICS, CONDENSED MATTER | STATES | QUANTUM | INCOMMENSURATE | NON-ABELIAN STATISTICS | MAJORANA FERMIONS | MODEL | INDUCED SUPERCONDUCTIVITY | ANYONS | EDGE | Research | Topology | Algebraic topology | Quantum theory

Journal Article